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5. [15 pts] Let p1, . .., 5n denote Boolean variables, for n 2 2. An assignment for a set of Boolean variables is a choice of values (either T or F) for each variable. An example of an assignment for two Boolean variables p1, p2 is: p1 = T, p2 = F. (a) How many distinct assignments are possible for p1, . . .; Pn such that the Boolean expression (p1 V p2 V . . . VPn) is true? (b) How many distinct assignments are possible for p1, . .., Pan such that the Boolean expression (p1 V p2 V . . . V p5) A (P6 V P7 V . . . Vp10) A . . . A (Pan-4 VP5n-3 V . . . VPan) is true